GATE ECE 2021 Paper 1 — page 17

Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.

The exponential Fourier series representation of a continuous-time periodic signal

is defined as

where

is the fundamental angular frequency of

and the coefficients of the series are

. The following information is given about

and

is real and even, having a fundamental period of 6 II. The average value of

is 2 III.

The average power of the signal

(rounded off to one decimal place) is ________.

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For a unit step input

, a discrete-time LTI system produces an output signal

. Let

be the output of the system for an input

. The value of

is ________.

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Consider the signals

and

, where

is the unit step sequence. Let

and

be the discrete-time Fourier transform of

and

, respectively. The value of the integral

(rounded off to one decimal place) is ________.

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2021 · Paper 1